Finite Group Databasebeta

← Group #11819116

Character table — Group #11819116

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11112244888899991616161616161818181818183636363636363636363636363636363672727272
order1222442436662222661212121244444424444444444444444444
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-11-11-1
χ4111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-11-11
χ5111111-1-111111111-1-111-1-1111111-1-1111111-1-1-1-11111-1-1-1-1
χ6111111-1-111111111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-11-11
χ8111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111-11-1
χ91111-1-11-11111111111-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-1-1-111
χ101111-1-11-11111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1111111-1-1
χ111111-1-11-11111111111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-111-1
χ121111-1-11-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-11-1-11
χ131111-1-1-1111111111-1-1-1-111-1-11111-11-1-11111-1-111-1-1-1-111-1-1
χ141111-1-1-1111111111-1-1-1-111-1-11111-11-1-1-1-1-1-1-1-1111111-1-111
χ151111-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-11
χ161111-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-111-1-1-111-1
χ17222222222222-2-2-2-2222222-2-20000-2-2000000000000000000
χ18222222-2-22222-2-2-2-2-2-222-2-2-2-2000022000000000000000000
χ192222-2-22-22222-2-2-2-222-2-2-2-2220000-22000000000000000000
χ202222-2-2-222222-2-2-2-2-2-2-2-2222200002-2000000000000000000
χ2122-2-22i−2i0022-2-22-2-22002i−2i002i−2i0000000000002i−2i2-200000000
χ2222-2-22i−2i0022-2-22-2-22002i−2i002i−2i000000000000−2i2i-2200000000
χ2322-2-22i−2i0022-2-2-222-2002i−2i00−2i2i22-2-2002i−2i0000000000000000
χ2422-2-22i−2i0022-2-2-222-2002i−2i00−2i2i-2-22200−2i2i0000000000000000
χ2522-2-2−2i2i0022-2-22-2-2200−2i2i00−2i2i0000000000002i−2i-2200000000
χ2622-2-2−2i2i0022-2-22-2-2200−2i2i00−2i2i000000000000−2i2i2-200000000
χ2722-2-2−2i2i0022-2-2-222-200−2i2i002i−2i22-2-200−2i2i0000000000000000
χ2822-2-2−2i2i0022-2-2-222-200−2i2i002i−2i-2-222002i−2i0000000000000000
χ292-22-200002-22-22-22-2000000002-22-200002i−2i2i−2i000000000000
χ302-22-200002-22-22-22-2000000002-22-20000−2i2i−2i2i000000000000
χ312-22-200002-22-22-22-200000000-22-2200002i−2i−2i2i000000000000
χ322-22-200002-22-22-22-200000000-22-220000−2i2i2i−2i000000000000
χ332-2-2200002-2-22-2-222000000002-2-220000000000002-22-20000
χ342-2-2200002-2-22-2-222000000002-2-22000000000000-22-220000
χ352-2-2200002-2-22-2-22200000000-222-20000000000002-2-220000
χ362-2-2200002-2-22-2-22200000000-222-2000000000000-222-20000
χ374-44-400004-44-4-44-4400000000000000000000000000000000
χ384-4-4400004-4-4444-4-400000000000000000000000000000000
χ3988888888-1-1-1-10000-1-1-1-1-1-100000000000000000000000000
χ40888888-8-8-1-1-1-1000011-1-11100000000000000000000000000
χ418888-8-88-8-1-1-1-10000-1-1111100000000000000000000000000
χ428888-8-8-88-1-1-1-100001111-1-100000000000000000000000000
χ4388-8-88i−8i00-1-11100003-3−ii3i−3i00000000000000000000000000
χ4488-8-88i−8i00-1-1110000-33−ii−3i3i00000000000000000000000000
χ4588-8-8−8i8i00-1-11100003-3i−i−3i3i00000000000000000000000000
χ4688-8-8−8i8i00-1-1110000-33i−i3i−3i00000000000000000000000000
χ4716-1616-160000-22-22000000000000000000000000000000000000
χ4816-16-16160000-222-2000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).